138628427760 has 120 divisors (see below), whose sum is σ = 490063700880. Its totient is φ = 35021915136.

The previous prime is 138628427747. The next prime is 138628427767. The reversal of 138628427760 is 67724826831.

138628427760 is a `hidden beast` number, since 1 + 3 + 8 + 628 + 4 + 2 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 138628427697 and 138628427706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138628427767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5053149 + ... + 5080508.

It is an arithmetic number, because the mean of its divisors is an integer number (4083864174).

Almost surely, 2^138628427760 is an apocalyptic number.

138628427760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138628427760 is an abundant number, since it is smaller than the sum of its proper divisors (351435273120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138628427760 is a wasteful number, since it uses less digits than its factorization.

138628427760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133695 (or 10133686 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 138628427760 in words is "one hundred thirty-eight billion, six hundred twenty-eight million, four hundred twenty-seven thousand, seven hundred sixty".